How much is 103!/22!*81!

My calculator gives only an error. What am I doing wrong? 

 

This is an enormous number. It is 264 digits long.

 

Doing this on your calculator is like using a lawnmower to pull a train . . .2 kilometers long . . .fully loaded . . . with lead.

 

This is a quotient and product of factorials. The numbers are too far apart to reliably use the permutation or commutation functions. Time out or Unendlich (Infinity) often pops up.

(There might be another method to solve it).

 

Actually, it does work (if the servers are not too busy).

Paste this into the 2.0calc:

 

nPr(103,(103-22))*81!

 

 This is a perceptive and intuitive piece of work figuring that out, Alan.

~~D~~

Someone asked a similar question yesterday. This may help you out: http://web2.0calc.com/questions/this-does-not-work-365-335-365-30-i-get-internal-error

This is a little beyond me.  I'm sure someone else on the forum can help you out if you can't figure it out from the link. :)

You might notice here that 22 + 81 = 103, so I suspect that what is wanted is 103!/(22!*81!) which is nCr(103,22)  (or nCr(103,81), which is the same).  This can be calculated using the website calculator using the ncr function:

$${\left({\frac{{\mathtt{103}}{!}}{{\mathtt{22}}{!}{\mathtt{\,\times\,}}({\mathtt{103}}{\mathtt{\,-\,}}{\mathtt{22}}){!}}}\right)} = {\mathtt{15\,197\,882\,802\,514\,693\,962\,310}}$$

$${\left({\frac{{\mathtt{103}}{!}}{{\mathtt{81}}{!}{\mathtt{\,\times\,}}({\mathtt{103}}{\mathtt{\,-\,}}{\mathtt{81}}){!}}}\right)} = {\mathtt{15\,197\,882\,802\,514\,693\,962\,310}}$$